Mathematics: What is the inverse of function f? f(x)=10/9r+11

2) (-2/1)=-2Step-by-step explanation:...

What is the inverse of function f? f(x)=10/9r+11

whackybrother24

04.02.2022

$f(x) = \frac{10}{9}x + 11 \\$

So :

$y = \frac{10}{9}x + 11 \\$

Subtract the sides of the equation minus 11

$y - 11 = \frac{10}{9}x \\$

Multiply the sides of the equation by 9

9(y - 11) = 10x

9y - 99 = 10x

Divided the sides of the equation by 10

$\frac{9y - 99}{10} = x \\$

So :

${f}^{ - 1}(x) = \frac{9x - 99}{10} \\$

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And we're done.

Thanks for watching buddy good luck.

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